umu.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
The Riemann-Stieltjes integral: and some applications in complex analysis and probability theory
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2014 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

The purpose of this essay is to prove the existence of the Riemann-Stieltjes integral. After doing so, we present some applications in complex analysis, where we define the complex curve integral as a special case of the Riemann- Stieltjes integral, and then focus on Cauchy’s celebrated integral theorem. To show the versatility of the Riemann-Stieltjes integral, we also present some applications in probability theory, where the integral generates a general formula for the expectation, regardless of its underlying distribution. 

Place, publisher, year, edition, pages
2014. , 41 p.
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:umu:diva-89199OAI: oai:DiVA.org:umu-89199DiVA: diva2:719488
Educational program
Bachelor of Science in Physics and Applied Mathematics
Supervisors
Examiners
Available from: 2014-06-18 Created: 2014-05-26 Last updated: 2015-06-09Bibliographically approved

Open Access in DiVA

The Riemann-Stieltjes integral(857 kB)7857 downloads
File information
File name FULLTEXT01.pdfFile size 857 kBChecksum SHA-512
8a2eb815a06403ce948f2e4ca9081d0a2a414c075340d1174d704c728b1a7f64a6703a3be6ffd529569413175a86406287c115d35f6f05a3b02e1cf7129760da
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Leffler, Klara
By organisation
Department of Mathematics and Mathematical Statistics
Mathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar
Total: 7857 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 3583 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf